If the area of the trapezoid below is 75 square units, what is the value of x? AB=17 DC=8 A. 1.5
B. 12
C. 6
D. 3

Diagram related to the question can be found in the attached picture below :

6 units

Step-by-step explanation:

From the diagram attached to the question:

Length AB = 17

Length DC = 8

height (h) = x

Area of trapezium = 75sq units

The Area (A) of a trapezium is given by:

(1/2) × (a + b) × h

Where ;

a and b are the upper and base lengths of the trapezium

h = height of trapezium

A = (1/2) × (a + b) × h

75 = (1/2) * (17 + 8) * x

75 = 0.5*25*x

75 = 12.5x

x = 75 / 12.5

x = 6 units

Find out the  what was the original price of her purchase .

To prove

Let us assume that the original price of her purchase be x.

As given

A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13 .

20% is written in the decimal form.

= 0.20

Than the equation becomes

x × 0.20 = 13

x = $65

Therefore the original price of her purchase is $65.